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Finding the Third Proportional to 54,609.75 and 86,838.75

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Solution

The third proportional to 54,609.75 and 86,838.75 is: 138,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609.75 : 86,838.75 = 86,838.75 : x
  2. Step 2: Convert to fraction form
    54,609.75/86,838.75 = 86,838.75/x
  3. Step 3: Cross multiply
    54,609.75x = 86,838.75 × 86,838.75
  4. Step 4: Simplify right side
    54,609.75x = 7,540,968,501.56
  5. Step 5: Solve for x
    x = 7,540,968,501.56/54,609.75
  6. Step 6: Final answer
    x = 138,088.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.